SOLUTION: Four points A, B, C, D are arranged along a line such that AC> AB and BD< BC. Draw a picture with the four points in place. Is there more than one order possible? Explain.

Algebra ->  Points-lines-and-rays -> SOLUTION: Four points A, B, C, D are arranged along a line such that AC> AB and BD< BC. Draw a picture with the four points in place. Is there more than one order possible? Explain.      Log On


   

Question 760894: Four points A, B, C, D are arranged along a line such that AC> AB and BD< BC. Draw a picture with the four points in place. Is there more than one order possible? Explain.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
AB, AC, BC, and BD are distances (or segment lengths), so they are positive numbers/measures, but we do not know relative positions. B and C may be to the same side of A, or on different sides. D and C may be to the same side of B, or on different sides. There is more that one possible order.
Drawing the line horizontal, and rotating it so that C is to the right of A, here are some possibilities: